which of the following is a perfect cube- 1)8507 2)4624 3)1536 4)4913
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Answer:
the following prefect cube (1)- 8507
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4913 is a perfect cube.
Correct option: 4) 4913
Step-by-step explanation:
- 1) 8507 = 47 × 181. So, 8507 is not a perfect cube.
- 2) 4624 = 2 × 2 × 2 × 2 × 17 × 17. This number is not a perfect cube because of one 2 and two 17s.
- 3) 1536 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3. This number is not a perfect cube because of one 3.
- 4) 4913 = 17 × 17 × 17. This is a perfect cube because there are three 17s.
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